Superintegrability, Lax matrices and separation of variables Oksana Yermolayeva
(yermolae@crm.umontreal.ca) Abstract We indicate how variation
of the pole parameters occurring in the Lax matrix representation of integrable
systems leads to different maximal sets of commuting invariants (and correspondingly,
different separating coordinates of spectral type). It follows that invariants
that do not depend on such coordinate determining parameters belong simultaneously
to independent commuting sets, leading to superintegrability. |